4.25x2.66= 11.305
...............................
The discount is 40% that means the discount is 40% off from the original price. Or we could write the discount as below.
discount = 40% × original price
Find the original price
original price = sale price + discount
original price = 36 + 40% original price
100% original price = 36 + 40% original price
100% original price - 40% original price = 36
60% original price = 36
0.6 original price = 36
original price = 36/0.6
original price = 60
The original price of the headphone is $60
Answer:
Every day, there is a 49% percent the locust population.
Step-by-step explanation:
To find the daily percent change of the locust population, we just need to find N(t) for t = 0, N(t) for t = 1, then subtract the second by the first, and then divide the result by the first:
N(t) = 8950*(0.7)^2t
N(0) = 8950*(0.7)^0 = 8950*1 = 8950
N(1) = 8950*(0.7)^2 = 8950*0.49 = 4385.5
Change = N(1) - N(0) = 4564.5
Percent change = Change/N(0) = 4564.5/8950 = 0.51 = 51%
As after one day, the population decrease by 51% of the inicial population, the remaining population is 100% - 51% = 49%, so we can write:
Every day, there is a 49% percent of the locust population.
Answer:
Let's define the variables:
M = mother's age
D = daughter's age.
"a mother is twice as old as her daughter"
This can be written as:
M = 2*D
"5 years from now she will be thrice as old as her daughter"
(M + 5) = 3*D
We want to know how old is the mother five years from now.
First, our equations are:
M = 2*D
(M + 5) = 3*D
First, we need to isolate one of the variables in one of the equations, because for the solution we want the mother's age, we should isolate the daughter's age.
Let's isolate D in the first equation:
M/2 = D
Now we can replace this in the other equation:
Now we can replace this on the other equation:
(M + 5) = 3*(M/2)
M + 5 - (3/2)*M = 0
-(1/2)*M + 5 = 0
5 = (1/2)*M
2*5 = M = 10
So the mother is 10 years old (this hasn't a lot of sense, maybe there is a wrong number on the question)
and 5 years from now, the mother will be:
10 + 5 = 15 years old.
